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Journal of Scientific Computing
Erschienen in: Journal of Scientific Computing 2/2015

01.02.2015

Dispersion Relation Preserving Combined Compact Difference Schemes for Flow Problems

verfasst von: C. H. Yu, Yogesh G. Bhumkar, Tony W. H. Sheu

Erschienen in: Journal of Scientific Computing | Ausgabe 2/2015

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Abstract

In this work, we have proposed two new combined compact difference (CCD) schemes for the solution of Navier–Stokes equations. These spatial discretization schemes have not only high spectral resolution for obtaining first and second derivative terms, but also have improved dispersion relation preserving properties when the fourth-order four-stage Runge–Kutta scheme is used for time integration. Out of the two proposed CCD schemes, the first scheme has upwind stencil, while the second scheme has a central stencil. Important numerical properties of these schemes have been analyzed and their effectiveness have been shown by solving the model wave equations, as well as Navier–Stokes equations. Results show that the upwind CCD scheme is suitable for high accuracy large eddy simulation of transitional and turbulent flowfields.
Vorheriger Artikel Non-Overlapping Domain Decomposition Methods For Dual Total Variation Based Image Denoising
Nächster Artikel Parameter Range Reduction in Ordinary Differential Equation Models

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Metadaten
Titel
Dispersion Relation Preserving Combined Compact Difference Schemes for Flow Problems
verfasst von
C. H. Yu
Yogesh G. Bhumkar
Tony W. H. Sheu
Publikationsdatum
01.02.2015
Verlag
Springer US
Erschienen in
Journal of Scientific Computing / Ausgabe 2/2015
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-014-9864-7

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